3.1 The Holographic Method of Contouring of Static …
215
Let us substitute (3.42) into (3.39) we will get
ϕ(x, y) =
2π
h
z(x, y).
(3.44)
Equation (3.44) describes the intensity distribution in the polarization topogram.
Each hologram of the surface under study will be recorded and reconstructed with
its reference waves, which are spaced and orthogonally polarized. If the polarization
planes are located diagonally to the coordinate axes and the amplitudes are equal,
the reconstructed waves can be written in the following form
E 1 (x, y, z) = E 0
exp(−iϕ 1 (x, y, z)) e 1 + exp(−iϕ 1 (x, y, z)) e 2
,
E 2 (x, y, z) = E 0
exp(−iϕ 2 (x, y, z)) e 1 + exp(−iϕ 2 (x, y, z)) e 2
,
(3.45)
where
e 1 ( e 2 ) are the unit vectors along the x(y)-axis.
Let the waves run through a diagonal crystal phase plate λ/ 4 and then through the
polarizer turned at the angle α relative to the axis of the coordinate system (Fig. 3.17).
In this case, the total complex amplitude of waves passing through the polarizer will
be equal to
E p = E 1 p + E
1 p + E 2 p + E
2 p
= E 0
exp
−i
ϕ 1 − α +
π
2
− exp
−i
ϕ 2 + α −
π
2
.
(3.46)
The corresponding intensity distribution has the form
Fig. 3.17 Scheme of rotation of polarizer P relative to the vertical axis of the x, y coordinate system.
Reprinted from [94] with permission